01. Pretty much everything surrounding Morrigan, especially her deal with the Eluvians (as a human, I can't imagine it's comfortable or easy for her), Flemeth, and the OGB (when applicable). I know she's intended to be morally ambiguous but I want to see how time has changed her and whether she could be a hero or villain. Part of me thinks she's a potential antagonist, or could be depending on your choices. I do wonder if the OGB will differ depending on who his father was (Warden, Alistair, Loghain), possibly taking on different traits as a result.
02. Flemeth. Just like Morrigan, I want to know where she stands. She helps the Warden and Hawke, for a price. I can also imagine it could have been her that saves the Inquisitor's life in the Summit blast. (Actually, I wouldn't be surprised. It's somewhat of a DA tradition to have Flemeth save the day in the beginning and offer the PC assistance in some form, of course, with strings attached). I can imagine the Inquisitor will be her latest, and possibly most potent pet project. I can also see Morrigan and Flemeth vying for the Inquisitor's allegiance.
03. The Ruler of Ferelden. It's been over ten years since the Blight ended. I want to know how Anora/Alistair/King or Queen Warden is running the place. As much as I don't want to be too 'Ferelden involved' given my interest in the other nations of Thedas, I do want to know how Ferelden's doing since we left.
04. The Ruler of Orlais, for that matter. I want to be able to meet Empress Celene and become directly involved with Orlesian politics. Hopefully even partake in the Grand Game (that, I can imagine, will be a huge highlight of the game, and extremely fun at that). Just like Alistair/Anora/Loghain had their politics, dealing with Celene/Gaspar will be the political intrigue of DAI. I just hope I get to experience it directly and not just through agents or a 'war table'.
05. Where Hawke disappeared off to at the end of DA2. We know he/she will making an appearance. I also want to see the variability of Hawke and how his/her side, demeanor, and choices affect Kirkwall and the Free Marches. Especially a Viscount Hawke.
06. Where a Warden who remains alive and well went off to for that matter. I can see why his/her fate would be more open ended, and for all we know he/she could have succumbed to the taint (as they all do). I can't imagine he/she would be that important now outside of personal context where applicable (Morrigan, Leliana, Alistair, Anora), but still.
07. The fates of previous companions (where applicable), namely the DA2 companions.
08. Getting to meet characters from the books (Masked Empire, Asunder). I like the idea of in-game adaptations for many of these characters (such as Briala), and I know we'll have Cole, so yeah.